Suppose that 84% of students at a large high school (with 2000 students) regularly use a backpack to carry their books from class to class. Imagine taking an SRS of 100 students and calculating:
p̂ = the proportion of students in the sample who regularly use a backpack.
(a) Identify the mean of the sampling distribution of p̂
Answer as a decimal rounded to the nearest hundredth
Is the 10% condition met? How do you know?
Calculate the standard deviation of the sampling distribution of p̂.
Answer as a decimal rounded to the nearest hundredth
Interpret the standard deviation of the sampling distribution of p̂.
Describe the shape of the sampling distribution of p̂. Justify your answer using the large counts condition.
Answer as a decimal rounded to the nearest hundredth
Is the 10% condition met? How do you know?
Calculate the standard deviation of the sampling distribution of p̂
Answer as a decimal rounded to the nearest hundredth
Interpret the standard deviation of the sampling distribution of p̂
Answer as a decimal rounded to the nearest hundredth
Is the 10% condition met? How do you know?
Calculate the standard deviation of the sampling distribution of p̂
Answer as a decimal rounded to the nearest THOUSANDTH
This will require you to solve an equation, which is a tad unusual for this class. For these problems, try to round as little as possible during the middle steps.
Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.
